mathsurgery - Integers powers and roots year 9

All
• Give accurate solutions appropriate to the context or problem
• Use multiples, factors, common factors, highest common factors, lowest common multiples and primes
• Find the prime factor decomposition of a number (e.g. 8000) using index notation for small positive integer powers
• Add, subtract, multiply and divide integers
• Use squares, positive and negative square roots, cubes and cube roots

Most
• Generate fuller solutions by presenting a concise, reasoned argument using symbols, diagrams, graphs and related explanations
• Calculate accurately, selecting mental methods or calculating devices as appropriate
• Use the prime factor decomposition of a number (to find highest common factors and lowest common multiples for example)
• Use ICT to estimate square roots and cube roots
• Use index notation for integer powers; know and use the index laws for multiplication and division of positive integer powers

Some
• Justify generalisations, arguments or solutions
• Use index notation with negative and fractional powers, recognising that the index laws can be applied to these as well

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Integers powers and roots year 9